20:31 Till. 26% Tshwane University of Technology We empower people FACULTY OF HUMANITIES DEPARTMENT OF MATHEMATICS, SCIENCE AND BUSINESS EDUCATION FMS206P & FTH206P TUTORIAL: Limits and Continuity QUESTION 1 1.1 Evaluate the following: sin 3x 1.1.1 lim x-0x(5x2 – 4) x²-81 1.1.2 lim x-9 x 9 1.1.3 lim X-100 5x - x2 -1 2x3-4x x²+9-3 1.1.4 lim QUESTION 2 2.1 State the Squeeze Theorem. 2.2 Suppose that the inequality April 2024 1 x2 - cos x 1 2 24 holds for all values of x close to zero. Find lim x-0 2.3 Determine the following limit by using the Squeeze Theorem QUESTION 3 lim 3x2 sin x0 3.1 State the epsilon-delta (ε - 6) definition of limit of a function. 3.2 Consider the limit lim (2x-1) = 7. 3.2.1 Use the epsilon-delta (-8) definition of a limit to prove that lim (2x-1)=7 Page 1 of 2 B x-4 3.2.2 How close to x₁ = 4 does x have to be so that y = 2x - 1 differ from 7 by less than 2 units? QUESTION 4